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Finding the Fourth Proportional to 5,357.62, 8,045.34 and 3,613.84

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Solution

The fourth proportional to 5,357.62, 8,045.34 and 3,613.84 is: 5,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.62 : 8,045.34 = 3,613.84 : x
  2. Step 2: Convert to fraction form
    5,357.62/8,045.34 = 3,613.84/x
  3. Step 3: Cross multiply
    5,357.62x = 8,045.34 × 3,613.84
  4. Step 4: Simplify right side
    5,357.62x = 29,074,571.51
  5. Step 5: Solve for x
    x = 29,074,571.51/5,357.62
  6. Step 6: Final answer
    x = 5,426.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.